5
B
A
5
a. Consider the points A(2, 3) and B(0, 6) and the line segment, AB, between them. What
is the slope of this line segment?
b. Locate a third point C(x, y) on the coordinate grid, so the points A(2, 3), B(4,7), and
C(x, y) form the vertices of a right triangle, with AB as its hypotenuse.
c. Explain how you know that the triangle you formed contains a right angle.
d. Now rotate this right triangle 90° about the vertex point A(2, 3). Explain how you know
that you have rotated the triangle 90°.
e. Compare the slope of the hypotenuse of this rotated right triangle with the slope of the
hypotenuse of the pre-image. What do you notice?
